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205213535121 = 3726592118377
BaseRepresentation
bin1011111100011110101…
…1100000101110010001
3201121200200110201011210
42333013223200232101
511330234131110441
6234135050130333
720553245160600
oct2770753405621
9647620421153
10205213535121
117a037766311
12339317209a9
13164754939ba
149d0a689a37
15551100a616
hex2fc7ae0b91

205213535121 has 24 divisors (see below), whose sum is σ = 318773521440. Its totient is φ = 117086878272.

The previous prime is 205213535119. The next prime is 205213535159. The reversal of 205213535121 is 121535312502.

It is not a de Polignac number, because 205213535121 - 21 = 205213535119 is a prime.

It is a super-2 number, since 2×2052135351212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205213535161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962316 + ... + 1156061.

It is an arithmetic number, because the mean of its divisors is an integer number (13282230060).

Almost surely, 2205213535121 is an apocalyptic number.

205213535121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205213535121 is a deficient number, since it is larger than the sum of its proper divisors (113559986319).

205213535121 is a wasteful number, since it uses less digits than its factorization.

205213535121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119053 (or 2119046 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 205213535121 its reverse (121535312502), we get a palindrome (326748847623).

The spelling of 205213535121 in words is "two hundred five billion, two hundred thirteen million, five hundred thirty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 21 49 147 659 1977 4613 13839 32291 96873 2118377 6355131 14828639 44485917 103800473 311401419 1396010443 4188031329 9772073101 29316219303 68404511707 205213535121